Good question; one I have been giving a lot of thought to, since I'm about to embark into the Tech Camera realm. I just processed 70 images from a shoot in NC last fall. I currently shoot a Contax 645 with a P65. 40% of my shots were done using the Zeiss 35mm, and surprisingly to me, 39% were shot using my Zeiss 120mm. The remainder were shot with a Zeiss 80mm, stitched into pano's. While I was processing the files, I took note of how many of those 120mm shots would have benefitted from some lens tilt or shift. About 50% of the 120mm shots would have benefitted from the camera movement. What these statistics DON't show is that there are quite a few shots that just aren't valid to try with the 120mm without the camera movements. Some good friends I shot with in NC shot some reflections on water shots and forest floor shots on their ARCA's, with 150mm lenses, and used lens tilts. The resulting dof was nothing that could have ever been accomplished with my Contax/120mm combo due to the lack of tilt. They were astonishingly beautiful shots by the way!
The other benefit is the stitching aspect & large image circle you referred to - this is especially advantageous if you are making very large prints. You would avoid the "bow-tie" effect of panning & stitching. Also, camera raises would allow you to compose certain shots without tilting the back, thus introducing small convergence distortion (more applicable to wide angle lenses).
All that said, the biggest advantages are still with the wide angles, and that will be the focal length range lens I purchase first. Hope that helps.
